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Preference Diversity Orderings

Alexander Karpov ()

Group Decision and Negotiation, 2017, vol. 26, issue 4, No 6, 753-774

Abstract: Abstract Applying new preference diversity axiomatics, a generalization of the Alcalde-Unzu and Vorsatz (Soc Choice Welf 41(4):965–988, 2013) criterion is developed. It is shown that all previously used indices violate this criterion. Two new indices (geometric mean-based and leximax-based) that satisfy a new criterion are developed. Leximax-based orders act as a polarization index and are compared to the polarization index of Can et al. (Math Soc Sci 78:76–79, 2015). New impossibility results are obtained.

Keywords: Polarization; Cohesiveness; Leximax; Borda (search for similar items in EconPapers)
JEL-codes: D70 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10726-017-9532-z

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